72090009752688 has 60 divisors (see below), whose sum is σ = 201773574170688. Its totient is φ = 24027421985280.

The previous prime is 72090009752671. The next prime is 72090009752707. The reversal of 72090009752688 is 88625790009027.

72090009752688 is a `hidden beast` number, since 7 + 20 + 9 + 0 + 0 + 0 + 9 + 7 + 526 + 88 = 666.

It is a super-2 number, since 2×72090009752688² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25542745 + ... + 28224312.

Almost surely, 2^{72090009752688} is an apocalyptic number.

It is an amenable number.

72090009752688 is an abundant number, since it is smaller than the sum of its proper divisors (129683564418000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72090009752688 is a wasteful number, since it uses less digits than its factorization.

72090009752688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53776382 (or 53776373 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 72090009752688 in words is "seventy-two trillion, ninety billion, nine million, seven hundred fifty-two thousand, six hundred eighty-eight".